# Questions on Algebra: Combinatorics and Permutations answered by real tutors!

Algebra ->  Algebra  -> Permutations -> Questions on Algebra: Combinatorics and Permutations answered by real tutors!      Log On

 Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations! Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

 Algebra: Combinatorics and Permutations Solvers Lessons Answers archive Quiz In Depth

 Question 455256: Can anyone help me solve this math problem? See below. An urn contains 2-one dollar bills, 1 five dollar bill and 1 ten dollar bill. A player draws bills one at a time without replacement from the urn until a ten-dollar bill is drawn. Then the game stops. All bills are kept by the player. Determine: (A) The probability of winning \$11 (B) The probability of winning all bills in the urn. (c) The probability of the game stoping at the second draw. Click here to see answer by stanbon(57327)

 Question 455652: a license plate will have 7 characters including letters and digits. how many different plates can be made if the first 4 are letters and the last 3 re digits(cant repeat) Click here to see answer by edjones(7569)

 Question 455916: You know that Bob, Sue, Joanne and Jasper all have birthdays in June. If we list how many ways these four people all have birthdays on different days in June, how many arrangements of 4 days would there be in the list? Click here to see answer by solver91311(16877)

 Question 455938: Daphne's dinner party included six guests and herself. If they were going to eat at a circular table, how many seating arrangements were possible? Click here to see answer by edjones(7569)

 Question 456064: A true-false test contains 12 questions. In how many different ways can this be completed? Click here to see answer by edjones(7569)

 Question 456128: A poker hand consists of five cards from a standard deck of 52. How many poker hands are there that don't have any spades in them? Click here to see answer by robertb(4012)

 Question 456256: A code contains 4 letters and 2 numbers. How many possible codes are there? Click here to see answer by Alan3354(30993)

 Question 456481: if there are 9 people and i have to choose 5, how many different ways can i choose them? is it nCr or nPr? Click here to see answer by htmentor(789)

 Question 456559: In how many ways can the letters in the word “DIFFERENCE” be arranged? Click here to see answer by edjones(7569)

 Question 456579: An advertising firm based in Boston has 12 advertising agents. Next week, agents must meet with 3 prospective clients in Orlando, Chicago, and Seattle. The firm will send 3 agents to Orlando, 4 to Chicago, and 3 to Seattle. Assuming no agent will travel to more than one destination, how many different arrangements of agents are possible to meet with 3 prospective clients? Click here to see answer by edjones(7569)

 Question 456585: There are 15 teams in the Eastern Conference of the National Hockey League for 2006-2007 season, divided into 3 divisions of 5 teams each. Eight of these teams will participate in the playoff. The division winner from each division goes to the playoff; in addition the next 5 ranked teams in the conference, based on regular season records will participate in the playoffs. How many different collections of eight teams from the Eastern Conference could go to the playoffs? Click here to see answer by edjones(7569)

 Question 456591: A trucking company has 8 trucks and 6 drivers available when requests for 4 trucks are received. How many different ways there of selecting the truck and the drivers to meet these request? Click here to see answer by sudhanshu_kmr(1152)

 Question 456788: A group of 9 people is going to be formed into committees of 4, 3, and 2, people. How many committees can be formed if: a) A person can serve on any number of committees? b) No person can serve on more than one committee? Click here to see answer by stanbon(57327)

 Question 456973: a woman has applied for a job with two firms A and B. she estimates that her chance of getting an offer from A is 0.4 and from B is 0.3. Assuming that the two firms are independent. what is the probability that: i. she gets an offer from both ii she gets an offer from atleast one iii neither of the firms offers her a job iv firm A offers her a job but B declines. Click here to see answer by edjones(7569)

 Question 456965: A committee of five people is to be selected from a group of 6 men and 3 women, the committee should have at least 2 women. - How many different ways are there of selecting the committee? - would there be a difference if the order of selection is considered and the order not considered? kindly assist, i have tried to figure it out, but my confusion is the clause atleat 2 women, i tried to solve this as 6c3, as in 6 combination 3, but the word atleast 2women is where my confusion is. And also i do not think the order of selection matters, but i also need your opinion. Thank you. Click here to see answer by edjones(7569)

 Question 457471: In a horse race, how many different finishes among the first three places are possible for a ten-horse race? Click here to see answer by stanbon(57327)

 Question 457537: a four digit serial number is to be created from the digits 0 through 9. How many of these serial numbers can be created if 0 can not be the first digit, no digit may be repeated, and the last digit must be 5? Show work Click here to see answer by amoresroy(333)

 Question 458665: how many different 4- person groups can Ms. Hagius make from a class of 23? Click here to see answer by stanbon(57327)

 Question 459096: How many ways can a president and vice president be selected from a group of 11 people? Click here to see answer by Alan3354(30993)
 Question 459096: How many ways can a president and vice president be selected from a group of 11 people? Click here to see answer by jim_thompson5910(28593)

 Question 459211: HOW MANY FOUR DIGIT NUMBERS CAN BE FORMED FROM 1,2,3,4,5,6,7 WHICH IS GREATER THAN 3400? Click here to see answer by sudhanshu_kmr(1152)

 Question 459185: Seven person sit in a row. Find the total number of seating arrangement, if (i) three person ABC sit together in a particular order,(ii) ABC sit together(in any order); (iii) B and C occupy the end seats; (iv) C always occupy the middle seat. Click here to see answer by sudhanshu_kmr(1152)

 Question 458992: how many 3 letter, 3 digit license plates can uncle pennybags make with no repeated digits or letter? Click here to see answer by sudhanshu_kmr(1152)

 Question 459560: How many 4-digit whole numbers using the digits in the set {1,2,3,4,5,6,7,8,9,0}can be formed using the restrictions below. For purposes of this problem, the whole number can be "padded" with zeros on the left. So a 0014 is a good number,(IE numbers can start with zeros). Each part below is is independant of the previous part. a. Numbers do not contain the same digit twice, (without replacement) b. Numbers end with an even digit and can repeat digits, (with replacement) c. Numbers begin with an odd digit and can repeat digits, (with replacement) d. Numbers begin and end with a 1, (with replacement) e. Numbers have exactly three digits which are 7s (with replacement) Click here to see answer by Edwin McCravy(8908)

 Question 459530: How many 8 digit numbers are there containing three 6s and five 2s? Click here to see answer by richard1234(5390)

 Question 459593: Jar A contains 5 red balls and 7 white balls. Jar B contains 8 red balls and 4 white balls. A fair die is rolled. If a 1 or 2 comes up, a ball is randomly selected from jar A, otherwise, a ball is randomly selected from jar B a)Find the probability that a red ball is selected b)Given that the ball selected is red, find the probability that it came from jar B Click here to see answer by sudhanshu_kmr(1152)

 Question 459633: Using all ten letters of the word “thermastar”, how many DISTINCT ways can these letters be arranged? Click here to see answer by sudhanshu_kmr(1152)

 Question 459586: How many committees of four can be selected from a group of seven if the same person must be included in each committee? Click here to see answer by Edwin McCravy(8908)

 Question 459759: From a group of 5 men and 4 women, a comittee of 6 is to be selected. How many different selections can be formed having exactly 4 men and 2 women? Click here to see answer by stanbon(57327)

 Question 459805: I really dont know what type of algebra problem this is but i need help solving it 8i/9-2i Click here to see answer by richard1234(5390)

 Question 459764: How many arrangements are there of all the letters in PUPPIES if : The 3Ps must be together? The arrangement must begin and end with a P? My work: 7P3 x 7P4 ? 3P1 x 6P5 x 3P1 ? Click here to see answer by richard1234(5390)

 Question 459810: 5.How many committees of 5 people are possible from a group of 15? Click here to see answer by math-vortex(472)

 Question 459886: In a five item quiz with 4 choices, how many possible arrangement of answers will there be? Please with complete solution. :) Thanks. Click here to see answer by sudhanshu_kmr(1152)

 Question 459919: Pls help me with this question.How many 6 code-word can be formed from the word ECONOMICS ? Click here to see answer by stanbon(57327)

 Question 460161: how many different 4 people committees can be formed from a group of 15 people? Click here to see answer by stanbon(57327)

 Question 460272: how many was can 6 people be seated in a row if 3 of them insist on NOT sitting together? Click here to see answer by Edwin McCravy(8908)

 Question 460305: a committe of 8 students is to be chosen from 10 boys and 8 girls, in how many ways can this be done if: a) the committe must contain AT LEAST one girl? b)jack (one of the 10 boys) and jill (one of the 8 girls) insist on being on the committe? Click here to see answer by edjones(7569)

 Question 460319: How many arrangements are there for five people in a line for a photo if two of the five people must stand together? I guessed it could be 4 factorial dice two of the people must be together meaning 4*3*2*1=24 Click here to see answer by edjones(7569)

 Question 460484: I can't seem to figure this example problem out. Can some one please help? What is the formula? or How is it calculated? How many ways can a committee of 2 be selected from a club with 12 members? Click here to see answer by amoresroy(333)

 Question 460340: How many different 5-letters passwords can be made using the letters A,E,I,O and U if no letter is repeated? Click here to see answer by sudhanshu_kmr(1152)

 Question 460620: How many different hands in one suit are possible? Click here to see answer by rwm(914)

 Question 460617: How man different hands consisting entirely of hearts are possible Click here to see answer by edjones(7569)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780